A block of solid onk with dimensions `10cmxx20cmxx20cm` floats in water Fig. The block is submerged a little and let go. Find the frequency and the period of vibrations.

Answer

`v_(0)=(1)/(2pi)sqrt((rho_(0)g)/(rhoh))=1.7Hz;0.6s`.

Explanation

The restoring force is `F=rho_(0)gSx`, where `S=20xx20cm^(2)=4xx10^(-2)m^(2),rho_(0)` is the density of water and x is the increase in the depth of immersion. Since the force is quasi-elastic the frequency can be obtained using the familiar formula.